Information on Result #737113
Linear OA(3157, 2245, F3, 30) (dual of [2245, 2088, 31]-code), using construction X applied to Ce(30) ⊂ Ce(21) based on
- linear OA(3141, 2187, F3, 31) (dual of [2187, 2046, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(399, 2187, F3, 22) (dual of [2187, 2088, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(316, 58, F3, 7) (dual of [58, 42, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3159, 2247, F3, 30) (dual of [2247, 2088, 31]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3157, 1122, F3, 2, 30) (dual of [(1122, 2), 2087, 31]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3157, 748, F3, 3, 30) (dual of [(748, 3), 2087, 31]-NRT-code) | [i] | ||
| 4 | Linear OOA(3157, 561, F3, 4, 30) (dual of [(561, 4), 2087, 31]-NRT-code) | [i] | ||
| 5 | Linear OOA(3157, 449, F3, 5, 30) (dual of [(449, 5), 2088, 31]-NRT-code) | [i] | ||